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| Preface | |
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| The homogeneous and isotropic universe | |
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| Homogeneity and isotropy | |
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| The background geometry of the Universe | |
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| Recombination and decoupling | |
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| Nucleosynthesis | |
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| Inflation | |
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| Perturbation theory | |
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| Introduction | |
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| Gauge-invariant perturbation variables | |
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| The perturbation equations | |
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| Simple examples | |
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| Light-like geodesics and CMB anisotropies | |
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| Power spectra | |
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| Final remarks | |
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| Initial conditions | |
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| Scalar field perturbations | |
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| Generation of perturbations during inflation | |
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| Mixture of dust and radiation revisited | |
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| CMB anisotropies | |
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| Introduction to kinetic theory | |
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| The Liouville equation in a perturbed FL universe | |
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| The energy-momentum tensor | |
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| The ultra-relativistic limit, the Liouville equation for massless particles | |
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| The Boltzmann equation | |
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| Silk damping | |
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| The full system of perturbation equations | |
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| CMB polarization and the total angular momentum approach | |
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| Polarization dependent Thomson scattering | |
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| Total angular momentum decomposition | |
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| The spectra | |
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| The small-scale limit and the physical meaning of [epsilon] and B | |
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| The Boltzmann equation | |
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| Cosmological parameter estimation | |
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| Introduction | |
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| The physics of parameter dependence | |
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| Reionization | |
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| CMB data | |
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| Statistical methods | |
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| Degeneracies | |
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| Complementary observations | |
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| Sources | |
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| Lensing and the CMB | |
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| An introduction to lensing | |
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| The lensing power spectrum | |
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| Lensing of the CMB temperature anisotropies | |
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| Lensing of the CMB polarization | |
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| Non-Gaussianity | |
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| Other second-order effects | |
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| The CMB spectrum | |
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| Collisional processes in the CMB | |
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| A chemical potential | |
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| The Sunyaev-Zel'dovich effect | |
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| Fundamental constants, units and relations | |
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| General relativity | |
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| Perturbations | |
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| Special functions | |
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| Entropy production and heat flux | |
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| Mixtures | |
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| Statistical utensils | |
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| Approximation for the tensor C[subscript l] spectrum | |
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| Boltzmann equation in a universe with curvature | |
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| The solutions of some exercises | |
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| References | |
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| Index | |